Question

The questions on a multiple-choice quiz each have 5 answer choices. Which model can be used to simulate randomly picking the correct answer to a 8-question multiple-choice quiz?

Answer 1

The binomial distribution model can be used to simulate randomly picking the correct answer for an 8-question multiple-choice quiz with 5 answer choices each.

Step-by-step explanation:

To simulate randomly picking the correct answer for an 8-question multiple-choice quiz with 5 answer choices each, you can use the binomial distribution model.

1. The probability of randomly picking the correct answer for each question is 1/5, since there are 5 answer choices.
2. The probability of randomly picking the incorrect answer for each question is 4/5.
3. Using the binomial distribution formula, you can calculate the probability of getting a certain number of correct answers out of 8.

For example, to find the probability of getting at least 4 correct answers, you would calculate the probability of getting exactly 4, 5, 6, 7, or 8 correct answers and add them together.

Answer 2

0.025 or
`(1)/(40)`